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Finding the Fourth Proportional to 80,293.75, 120,456.96 and 27,696.40

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Solution

The fourth proportional to 80,293.75, 120,456.96 and 27,696.40 is: 41,550.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,293.75 : 120,456.96 = 27,696.40 : x
  2. Step 2: Convert to fraction form
    80,293.75/120,456.96 = 27,696.40/x
  3. Step 3: Cross multiply
    80,293.75x = 120,456.96 × 27,696.40
  4. Step 4: Simplify right side
    80,293.75x = 3,336,224,146.94
  5. Step 5: Solve for x
    x = 3,336,224,146.94/80,293.75
  6. Step 6: Final answer
    x = 41,550.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.